Details

sample371.0ms

Algorithm

intervals

Results

120.0ms	794×	body	80	nan
43.0ms	287×	body	80	valid

simplify19.4s

Counts

1 → 1

Iterations

Iter	Nodes
done	5001
5	3581
4	1240
3	326
2	97
1	38
0	20

prune78.0ms

Pruning

1 alts after pruning (1 fresh and 0 done)

Merged error: 0.1b

localize410.0ms

Local error

Found 4 expressions with local error:

0.0b	(+ (+ (* x (log y)) z) t)
0.0b	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
0.2b	(* (- b 0.5) (log c))
0.2b	(* x (log y))

rewrite2.5s

Algorithm

rewrite-expression-head

Rules

23×	`add-log-exp`
20×	`add-sqr-sqrt`
18×	`log-prod` `*-un-lft-identity`
14×	`add-cube-cbrt`
13×	`sum-log`
10×	`pow1`
9×	`distribute-rgt-in` `distribute-lft-in`
8×	`add-exp-log` `associate-r` `associate-l` `add-cbrt-cube`
6×	`associate-+r+` `associate-*l/`
4×	`flip3-+` `frac-add` `flip-+`
3×	`flip3--` `flip--`
2×	`+-commutative` `associate-+l+` `pow-prod-down` `prod-exp` `log-pow` `*-commutative` `cbrt-unprod` `unswap-sqr`
1×	`distribute-lft-out` `distribute-lft-out--` `difference-of-squares`

Counts

4 → 93

Calls

4 calls:

68.0ms	(+ (+ (* x (log y)) z) t)
2.3s	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
102.0ms	(* (- b 0.5) (log c))
68.0ms	(* x (log y))

series1.1s

Counts

4 → 12

Calls

4 calls:

135.0ms	(+ (+ (* x (log y)) z) t)
772.0ms	(+ (+ (+ (+ (* x (log y)) z) t) a) (* (- b 0.5) (log c)))
113.0ms	(* (- b 0.5) (log c))
76.0ms	(* x (log y))

simplify8.2s

Counts

105 → 105

Iterations

Iter	Nodes
done	5003
2	2349
1	634
0	240

prune2.4s

Pruning

9 alts after pruning (9 fresh and 0 done)

Merged error: 0.0b

localize114.0ms

Local error

Found 4 expressions with local error:

0.3b	(+ (+ (* (log (cbrt y)) x) (* (log (cbrt y)) x)) (* (log (cbrt y)) x))
0.6b	(cbrt y)
0.6b	(cbrt y)
0.6b	(cbrt y)

rewrite91.0ms

Algorithm

rewrite-expression-head

Rules

9×	`cbrt-prod` `add-log-exp`
7×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`pow1/3` `sum-log`
2×	`distribute-lft-out`
1×	`+-commutative` `associate-+l+` `distribute-lft1-in` `flip3-+` `count-2` `flip-+`

Counts

4 → 48

Calls

4 calls:

84.0ms	(+ (+ (* (log (cbrt y)) x) (* (log (cbrt y)) x)) (* (log (cbrt y)) x))
1.0ms	(cbrt y)
1.0ms	(cbrt y)
2.0ms	(cbrt y)

series1.7s

Counts

4 → 12

Calls

4 calls:

442.0ms	(+ (+ (* (log (cbrt y)) x) (* (log (cbrt y)) x)) (* (log (cbrt y)) x))
410.0ms	(cbrt y)
476.0ms	(cbrt y)
414.0ms	(cbrt y)

simplify8.6s

Counts

60 → 60

Iterations

Iter	Nodes
done	5027
3	3061
2	723
1	168
0	64

prune1.8s

Pruning

8 alts after pruning (7 fresh and 1 done)

Merged error: 0.0b

localize105.0ms

Local error

Found 4 expressions with local error:

0.0b	(log (cbrt y))
0.2b	(* (- b 0.5) (log c))
0.3b	(* (log (cbrt y)) (* 3 x))
0.6b	(cbrt y)

rewrite101.0ms

Algorithm

rewrite-expression-head

Rules

16×	`add-sqr-sqrt`
14×	`pow1` `*-un-lft-identity`
12×	`add-exp-log` `add-cube-cbrt` `log-prod`
11×	`add-cbrt-cube`
10×	`associate-l`
6×	`cbrt-prod`
5×	`associate-r` `log-pow`
4×	`pow-prod-down` `prod-exp` `cbrt-unprod` `add-log-exp`
3×	`distribute-rgt-in` `distribute-lft-in` `pow1/3`
2×	`associate-l/` `-commutative`
1×	`flip3--` `rem-log-exp` `flip--` `distribute-lft-out--` `difference-of-squares` `unswap-sqr`

Counts

4 → 76

Calls

4 calls:

4.0ms	(log (cbrt y))
54.0ms	(* (- b 0.5) (log c))
37.0ms	(* (log (cbrt y)) (* 3 x))
2.0ms	(cbrt y)

series1.4s

Counts

4 → 12

Calls

4 calls:

517.0ms	(log (cbrt y))
115.0ms	(* (- b 0.5) (log c))
261.0ms	(* (log (cbrt y)) (* 3 x))
481.0ms	(cbrt y)

simplify6.2s

Counts

88 → 88

Iterations

Iter	Nodes
done	5001
3	3409
2	907
1	340
0	155

prune2.3s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0.0b

localize142.0ms

Local error

Found 4 expressions with local error:

0.2b	(+ (+ (* (- b 0.5) (log (cbrt c))) (* (- b 0.5) (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
0.7b	(cbrt c)
0.7b	(cbrt c)
0.7b	(cbrt c)

rewrite309.0ms

Algorithm

rewrite-expression-head

Rules

28×	`associate-*l/`
20×	`frac-add`
15×	`cbrt-prod`
14×	`flip3--` `flip--`
12×	`associate-+r+` `log-prod`
11×	`add-sqr-sqrt` `add-cube-cbrt` `*-un-lft-identity`
9×	`add-log-exp`
6×	`distribute-rgt-in` `distribute-lft-in`
4×	`pow1` `add-exp-log` `add-cbrt-cube`
3×	`flip3-+` `pow1/3` `sum-log` `flip-+`
2×	`distribute-lft-out`
1×	`+-commutative` `associate-+l+` `distribute-lft1-in` `count-2`

Counts

4 → 72

Calls

4 calls:

227.0ms	(+ (+ (* (- b 0.5) (log (cbrt c))) (* (- b 0.5) (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
2.0ms	(cbrt c)
2.0ms	(cbrt c)
2.0ms	(cbrt c)

series2.6s

Counts

4 → 12

Calls

4 calls:

628.0ms	(+ (+ (* (- b 0.5) (log (cbrt c))) (* (- b 0.5) (log (cbrt c)))) (* (- b 0.5) (log (cbrt c))))
381.0ms	(cbrt c)
526.0ms	(cbrt c)
1.1s	(cbrt c)

simplify6.9s

Counts

84 → 84

Iterations

Iter	Nodes
done	5014
2	2761
1	652
0	183

prune2.5s

Pruning

7 alts after pruning (6 fresh and 1 done)

Merged error: 0b

regimes5.0s

Accuracy

0% (0.1b remaining)

Error of 0.1b against oracle of 0.0b and baseline of 0.1b

bsearch0.0ms

simplify29.0ms

Iterations

Iter	Nodes
done	32
1	32
0	23

end0.0ms

sample23.3s

Algorithm

intervals

Results

15.0s	27554×	body	80	nan
4.0s	9175×	body	80	valid
1.0ms	2×	body	640	valid
0.0ms	1×	body	160	valid